Baby Names

I have always assumed that the middle name for my soon-to-be-born daughter would be Cheney. This is my last name and Julia, my older daughter's middle name. This weekend when discussing baby names, Julia mentioned that she didn't think the baby's middle name should be Cheney because she didn't want to have to share. Interesting...and somewhat worrisome for things to come. Still, she makes a good point. She is special and unique in every way. Why shouldn't her name be too? Now I'm unsure about what to do. What is stranger: having one child with my last name as a middle name, or having two kids with the same middle name? I welcome your thoughts.